SOLUTION: In a piggy bank,there are 24 more dimes than quarters. The value of the dimes equals the value of the quarters. How many quarters are in the piggy bank?

Question 1067703: In a piggy bank,there are 24 more dimes than quarters. The value of the dimes equals the value of the quarters. How many quarters are in the piggy bank?
Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website!
.

The condition gives you these two equations:

d - q = 24,   (1)
10d = 25q     (2)


Cancel equation (2) by the factor 5 (both sides. You will get

2d = 5q       (3)    

instead of (2).

Now express d = 24 + q from (1) and substitute it into (3), replacing d. You will get

2(24+q) = 5q  --->  48 + 2q = 5q  --->  3q = 48  --->  q =  = 16.


Answer.  16 quarters and 16 + 24 = 40 dimes.

There is entire bunch of lessons on coin problems
    - Coin problems
    - More Coin problems
    - Solving coin problems without using equations
    - Kevin and Randy Muise have a jar containing coins
    - Typical coin problems from the archive
    - More complicated coin problems
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem
    - OVERVIEW of lessons on coin word problems
in this site.

Read them and become an expert in solution of coin problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Coin problems".

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